Blocking to make up height on existing deck landing
I have a small existing deck that was tiled (maybe for the reason below), and I want to replace the tile with new decking.
The tile is on 1/4 backer, which is on 3/4 plywood, which is on 2×6 PT decking.
There is also an existing descending stair case, which I will re-tread with 2×6. The rise of each step on the stringer is cut 7 1/4” high, but from the stringer to the deck joists it’s 6 1/4, so with tile the last step is almost 8 inches.
My initial thought is to tear out everything except some of the PT, then lay 5/4 perpendicularly across that, except for the nosing. How can I best make up an inch difference in height? I don’t want to scrap the whole thing yet and just want to get something a little nicer down for now.